Question #6444917Fill in the Blank
Algebra-1
Question
Solve the equation . The value of x is _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve exponential equations by rewriting the bases to the same form. The problem involves converting both sides of the equation to a common base.
This question tests the student's ability to solve exponential equations by rewriting the bases to the same form. The problem involves converting both sides of the equation to a common base.
Key Concept Explanation
The key concept here is to rewrite both sides of the equation with the same base. In this case, 25 and 125 can be written as powers of 5.
The key concept here is to rewrite both sides of the equation with the same base. In this case, 25 and 125 can be written as powers of 5.
Step-by-step Solution
1. Given the equation .
2. Rewrite 25 and 125 as powers of 5: and .
3. The equation becomes .
4. Simplify the exponents:
1. Given the equation .
2. Rewrite 25 and 125 as powers of 5: and .
3. The equation becomes .
4. Simplify the exponents:
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